Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.3 - Radicals and Rational Exponents - Exercise Set: 65

Answer

$-\dfrac{1}{2}$

Work Step by Step

RECALL: (i) $\sqrt[n]{a^n}=a$ when $n$ is odd. (ii) $\sqrt[n]{a^n}=|a|$ when $n$ is even. Write the radicand in exponential form (as a fifth power) to obtain $\sqrt[5]{\left(-\dfrac{1}{2}\right)^5}.$ Use rule (i) above to obtain $\sqrt[5]{\left(-\dfrac{1}{2}\right)^5} = -\dfrac{1}{2}.$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.